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Length of horizontal arm of a uniform cr...

Length of horizontal arm of a uniform cross section `U`-tube is `l= 21 cm` and ends of both of the vertical arms are open to surrounding of pressure `10 xx 500 N//m^(2)`. A liquid of density `rho = 10^(3) kg//m^(3)` is poured into the tube such that liquid just fills the horizontal part of the tube. Now one of the open ends is sealed and the tube is then rotated about a vertical axis passing through the other vertical arm With angular velocity `omega_(0) = 10 rad//s`. If length of each vertical arm is `a = 6 cm`, calculate the length of air column in the sealed arm. (in cm)

Text Solution

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The correct Answer is:
`5cm`
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Length of horizontal arm of a uniform cross section U -tube is l= 21 cm and ends of both of the vertical arms are open to surrounding of pressure 10500 N//m^(2) . A liquid of density rho = 10^(3) kg//m^(3) is poured into the tube such that liquid just fills the horizontal part of the tube. Now one of the open ends is sealed and the tube is then rotated about a vertical axis passing through the other vertical arm With angular velocity omega_(0) = 10 rad//s . If length of each vertical arm is a = 6 cm , calculate the length of air column in the sealed arm. (in cm)

Length of the horizontal arm of a uniform cross - section U - tube is l = 5 cm and both ends of the vertical arms are open to the surrounding pressure of "7700 N m"^(-2) . A liquid of density rho=10^(3)" kg m"^(-3) is poured into the tube such that the liquid just fills the horizontal part of the tube. Now, one of the open ends is sealed and the tube. Now, one of the open ends is sealed and the tube is then rotaed about a vertical axis passing through the other veritcal arm with angular velocity omega due to which the liquid rises up to half the length of the vertical arm. If length of each vertical arm is a = 6 cm. What is the value of omega("in rad s"^(-1)) ?

Knowledge Check

  • If the end correction of an open tube is 0.3 cm, then the diameter of the tube will be

    A
    1cm
    B
    0.3cm
    C
    0.5cm
    D
    3cm

  • A U-tube having horizontal arm of length 20 cm, has uniform cross-sectional area =1cm^(2) , It is filled with water of volume 60 cc. What volume of a liquid of density 4g//cc should be poured from one side into the U-tube so that no water is left in the horizontal arm of the tube?

    A
    `60c c`
    B
    `45c c`
    C
    `50c c`
    D
    `35c c`

  • A U - tube having a horizontal arm of length 20 cm, has a uniform cross - sectional area 1cm^(2) . It is filled with water of volume 60 cc. The volume of a liquid of density "4 g cc"^(-1) required to be poured in one arm of the U - tube so that no water is left in the horizontal arm of the tube is ("take g "=9.8 ms^(-2))

    A
    60 cc
    B
    45 cc
    C
    50 cc
    D
    35 cc

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